Answered: There are 4 branches of a local bank.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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There are 4 branches of a local bank. Last year, branches A, B, C and D handled 27%,
23%, 20% and 30% of all transactions, respectively. A new shopping mall has recently
opened, and the vice president of the bank wants to see if this opening has produced
any changes in the distribution of transactions. The transactions for a week, selected at
random after the opening of the new mall, are:
Branch A B C D Total
Transactions 683 648 427 732 2490
Test, at α = 0.01, whether the distribution of transactions has changed after the opening
of the new mall.
(a) Write down the null and alternative hypotheses.
(b) Check the necessary conditions for carrying out the hypothesis testing.
(c) Give the rejection region. Find the observed test statistic.
Give the decision and final conclusion.

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